Global weak solutions to the compressible quantum Navier-Stokes equations with damping (Q2802693)
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scientific article; zbMATH DE number 6574178
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global weak solutions to the compressible quantum Navier-Stokes equations with damping |
scientific article; zbMATH DE number 6574178 |
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27 April 2016
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compressible quantum Navier-Stokes equations
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damping
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vacuum
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degenerate viscosity
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global weak solutions
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Global weak solutions to the compressible quantum Navier-Stokes equations with damping (English)
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The authors study the compressible quantum Navier-Stokes equations in three dimensional torus, which consist of the compressible Navier-Stokes equations with degenerate viscosity, a nonlinear third-order differential operator known as the quantum Bohm potential and some damping terms. A global weak solution is proved by using the Faedo-Galerkin approximation and the compactness arguments.
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